No it won’t.
With all the evidence and examples of predatory / unacceptable male behaviours that exist already, the fact such a thing has been put forward as a good idea tells us all we need to know.
ie. Men’s desires always come before women’s needs. The Labour Party promote this misogynistic thinking, yet millions of women will vote for them.
An other example
https://www.independent.co.uk/life-style/women/sexual-assault-unisex-changing-rooms-sunday-times-women-risk-a8519086.html
In addition, not that anybody needs any additions, 2 women a week in the UK, are killed by predatory men.
Why would we want to share any safe spaces with them.
After all how do we know which man is nice and which man is not. It is not up to women to try and decide that.
As Tony Benn said, we have to ask politicians:
“What power have you got? Where did you get it from? In whose interests do you exercise it? To whom are you accountable? And how can we get rid of you?”
Any politician or person of power who thinks it’s ok, is simply not electable in my view.